Showing math.DSShow all
2 papers · 1 filter
math.DS2025
L-shadowing for the induced hyperspace homeomorphism
Mayara Antunes, Bernardo Carvalho, Welington Cordeiro
We prove that a homeomorphism f of a compact metric space X satisfies the L-shadowing property if and only if its induced hyperspace homeomorphism also satisfies the L-shadowing pr…
math.DS2024
Gluing-orbit property, local stable/unstable sets, and induced dynamics on hyperspace
Mayara Antunes, Bernardo Carvalho, Welington Cordeiro +1
We prove that local stable/unstable sets of homeomorphisms of an infinite compact metric space satisfying the gluing-orbit property always contain compact and perfect subsets of th…